Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270o |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
1509892262411680 = 25 · 5 · 73 · 317 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 1 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119344,-15728672] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:430:1] |
Generators of the group modulo torsion |
j |
211815318681/1701280 |
j-invariant |
L |
2.4926136962554 |
L(r)(E,1)/r! |
Ω |
0.25698608105245 |
Real period |
R |
4.849705645627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170d1 |
Quadratic twists by: -31 |